@Article{JCM-19-1, author = {Ping-Bing, Ming and Zhong-Ci, Shi}, title = {Optimal Mixed $H-P$ Finite Element Methods for Stokes and Non-Newtonian Flow}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {1}, pages = {67--76}, abstract = {

Based upon a new mixed variational formulation for the three-field Stokes equations and linearized Non-Newtonian flow, an $h-p$ finite element method is presented with or without a stabilization. As to the variational formulation without stabilization, optimal error bounds in $h$ as well as in $p$ are obtained. As with stabilization, optimal error bounds are obtained which is optimal in $h$ and one order deterioration in $p$ for the pressure, that is consistent with numerical results in [9,12] and therefore solved the problem therein. Moreover, we proposed a stabilized formulation which is optimal in both $h$ and $p$.

}, issn = {1991-7139}, doi = {https://doi.org/2001-JCM-8958}, url = {https://global-sci.com/article/85448/optimal-mixed-h-p-finite-element-methods-for-stokes-and-non-newtonian-flow} }